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The Nonlinear Schr\"odinger (NLS) equation is widely used in everywhere of natural science. Various nonlinear excitations of the NLS equation have been found by many methods. However, except for the soliton-soliton interactions, it is very…

Exactly Solvable and Integrable Systems · Physics 2013-07-16 S. Y. Lou , Xue-Ping Cheng , Xiao-Yan Tang

We evaluate the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations. The methods are based on affine combinations of time-splitting integrators and…

Numerical Analysis · Mathematics 2023-09-22 Lisandro A. Raviola , Mariano F. De Leo

We introduce a system of fractional nonlinear Schroedinger equations (FNLSEs) which model the copropagation of optical waves carried by different wavelengths or mutually orthogonal circular polarizations in fiber-laser cavities with the…

Pattern Formation and Solitons · Physics 2024-05-14 Tandin Zangmo , Thawatchai Mayteevarunyoo , Boris A. Malomed

Two signal multiplexing schemes for optical fiber communication are considered: Wavelength-division multiplexing (WDM) and nonlinear frequency-division multiplexing (NFDM), based on the nonlinear Fourier transform (NFT). Achievable…

Information Theory · Computer Science 2018-04-24 Mansoor I. Yousefi , Xianhe Yangzhang

This work presents a massive SIMO scheme for wireless communications with one-shot noncoherent detection. It is based on permutational index modulation over OFDM. Its core principle is to convey information on the ordering in which a fixed…

Information Theory · Computer Science 2025-07-08 Marc Vilà-Insa , Aniol Martí , Meritxell Lamarca , Jaume Riba

Orthogonal time frequency space modulation (OTFS) has been recently proposed to achieve time and frequency diversity, especially in linear time-variant (LTV) channels with large Doppler frequencies. The idea is based on the precoding of the…

Signal Processing · Electrical Eng. & Systems 2019-07-11 Ahmad Nimr , Marwa Chafii , Maximilian Matthe , Gerhard Fettweis

This proposal relates to the design, analysis and application of a novel numerical scheme for the solution of axisymmetric scattering problems. To this end, a procedure is introduced to iteratively evaluate the solution of the…

Numerical Analysis · Mathematics 2025-10-20 YoungAe Han

Under investigation is the nonlinear Schr\"odinger equation hierarchies and the reversible transformations. We propose a generalized reversible transformation between the the generalized NLSE hierarchy with focussing and defocussing…

Exactly Solvable and Integrable Systems · Physics 2024-02-13 Sudipta Nandy , Abhijit Barthakur

In this paper, numerical methods are suggested to compute the discrete and the continuous spectrum of a signal with respect to the Zakharov-Shabat system, a Lax operator underlying numerous integrable communication channels including the…

Information Theory · Computer Science 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

Extensions of the split-step Fourier method (SSFM) for Schr\"odinger-type pulse propagation equations for simulating femto-second pulses in single- and two-mode optical communication fibers are developed and tested for Gaussian pulses. The…

Numerical Analysis · Mathematics 2015-04-07 Ralf Deiterding , Stephen W. Poole

We construct one soliton solutions for the nonlinear Schroedinger equation with variable quadratic Hamiltonians in a unified form by taking advantage of a complete (super) integrability of generalized harmonic oscillators. The soliton wave…

Mathematical Physics · Physics 2010-11-25 Erwin Suazo , Sergei K. Suslov

Wireless communications over fast fading channels are challenging, requiring either frequent channel tracking or complicated signaling schemes such as orthogonal time frequency space (OTFS) modulation. In this paper, we propose…

Information Theory · Computer Science 2020-11-30 Hongyang Zhang , Xiaojing Huang , J. Andrew Zhang

We propose a novel approach for channel state information (CSI) compression in multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems, where the frequency-domain channel matrix is treated as a…

Signal Processing · Electrical Eng. & Systems 2025-02-28 Bumsu Park , Heedong Do , Namyoon Lee

The performance analysis of a novel optical modulation scheme is presented in this paper. The basic concept is to transmit signs of modulated optical orthogonal frequency division multiplexing (O-OFDM) symbols and absolute values of the…

Information Theory · Computer Science 2019-05-16 Yichen Li , Dobroslav Tsonev , Harald Haas

In this paper, we propose a novel modulation concept which we call \emph{index and composition modulation (ICM)}. In the proposed concept, we use indices of active/deactive codeword elements and compositions of an integer to encode…

Signal Processing · Electrical Eng. & Systems 2020-09-29 Ferhat Yarkin , Justin P. Coon

Due to its attractive properties, generalized frequency division multiplexing (GFDM) is recently being discussed as a candidate waveform for the fifth generation of wireless communication systems (5G). GFDM is introduced as a generalized…

Information Theory · Computer Science 2016-04-20 Arman Farhang , Nicola Marchetti , Linda E. Doyle

In this paper, we investigate and compare the performance of single- and multi-carrier modulation schemes for indoor visible light communication (VLC). Particularly, the performances of single carrier frequency domain equalization (SCFDE),…

Information Theory · Computer Science 2015-05-26 Mohammadreza Aminikashani , Mohsen Kavehrad

With the advent of a new generation of solar telescopes and instrumentation, the interpretation of chromospheric observations (in particular, spectro-polarimetry) requires new, suitable diagnostic tools. This paper describes a new code,…

Solar and Stellar Astrophysics · Physics 2015-06-22 H. Socas-Navarro , J. de la Cruz Rodriguez , A. Asensio Ramos , J. Trujillo Bueno , B. Ruiz Cobo

In this paper we propose an independent channel precoder for orthogonal frequency division multiplexing (OFDM) systems over fading channels. The design of the precoder is based on the information redistribution of the input modulated…

Information Theory · Computer Science 2025-01-27 Jorge Ortin , Paloma Garcia , Fernando Gutierrez , Antonio Valdovinos

The linear programming decoder will occasionally output fractional-valued sequences that do not correspond to binary codewords - such outputs are termed nontrivial pseudocodewords. Feldman et al. have demonstrated that it is precisely the…

Information Theory · Computer Science 2024-10-30 Nathan Axvig